Solve for x in the image below. (PLEASE help out! I really need to complete this but I don't understand triangle angle sum theorem!)

x =108

Step-by-step explanation:

The sum of the angles in a triangle is 180.  We know the top angles are the same.  Call the unknown angles y

y+y+36 = 180

2y +36 = 180

Subtract 36 from each side

2y =180-36

2y =144

Divide by 2

2y/2 =144/2

y = 72

angle y and angle x form a line so they add to 180

x+y = 180

72+ x = 180

Subtract 72 from each side

x = 180-72

x =108

108°

Step-by-step explanation:

Total angle in a triangle is 180

Let the congruent angle be y each

2y + 36 = 180

2y = 144

y = 72

x = 180 - 72 = 108°

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

b

step-by-step explanation: